x^2+4y^2-6x^2-16y+21=0

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Solution for x^2+4y^2-6x^2-16y+21=0 equation: 


Simplifying
x2 + 4y2 + -6x2 + -16y + 21 = 0

Reorder the terms:
21 + x2 + -6x2 + -16y + 4y2 = 0

Combine like terms: x2 + -6x2 = -5x2
21 + -5x2 + -16y + 4y2 = 0

Solving
21 + -5x2 + -16y + 4y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.
21 + -5x2 + -16y + -21 + 4y2 = 0 + -21

Reorder the terms:
21 + -21 + -5x2 + -16y + 4y2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -5x2 + -16y + 4y2 = 0 + -21
-5x2 + -16y + 4y2 = 0 + -21

Combine like terms: 0 + -21 = -21
-5x2 + -16y + 4y2 = -21

Add '16y' to each side of the equation.
-5x2 + -16y + 16y + 4y2 = -21 + 16y

Combine like terms: -16y + 16y = 0
-5x2 + 0 + 4y2 = -21 + 16y
-5x2 + 4y2 = -21 + 16y

Add '-4y2' to each side of the equation.
-5x2 + 4y2 + -4y2 = -21 + 16y + -4y2

Combine like terms: 4y2 + -4y2 = 0
-5x2 + 0 = -21 + 16y + -4y2
-5x2 = -21 + 16y + -4y2

Divide each side by '-5'.
x2 = 4.2 + -3.2y + 0.8y2

Simplifying
x2 = 4.2 + -3.2y + 0.8y2

Reorder the terms:
-4.2 + x2 + 3.2y + -0.8y2 = 4.2 + -3.2y + 0.8y2 + -4.2 + 3.2y + -0.8y2

Reorder the terms:
-4.2 + x2 + 3.2y + -0.8y2 = 4.2 + -4.2 + -3.2y + 3.2y + 0.8y2 + -0.8y2

Combine like terms: 4.2 + -4.2 = 0.0
-4.2 + x2 + 3.2y + -0.8y2 = 0.0 + -3.2y + 3.2y + 0.8y2 + -0.8y2
-4.2 + x2 + 3.2y + -0.8y2 = -3.2y + 3.2y + 0.8y2 + -0.8y2

Combine like terms: -3.2y + 3.2y = 0.0
-4.2 + x2 + 3.2y + -0.8y2 = 0.0 + 0.8y2 + -0.8y2
-4.2 + x2 + 3.2y + -0.8y2 = 0.8y2 + -0.8y2

Combine like terms: 0.8y2 + -0.8y2 = 0.0
-4.2 + x2 + 3.2y + -0.8y2 = 0.0

The solution to this equation could not be determined.

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